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Finding the Fourth Proportional to 282.86, 423.77 and 196.00

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Solution

The fourth proportional to 282.86, 423.77 and 196.00 is: 293.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.86 : 423.77 = 196.00 : x
  2. Step 2: Convert to fraction form
    282.86/423.77 = 196.00/x
  3. Step 3: Cross multiply
    282.86x = 423.77 × 196.00
  4. Step 4: Simplify right side
    282.86x = 83,056.88
  5. Step 5: Solve for x
    x = 83,056.88/282.86
  6. Step 6: Final answer
    x = 293.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.